MA 162 - QUIZ 2 SOLUTIONS - Purdue University

4sin(6x) from x= 0 and x= ˇ 6. Solution: To set up the integral we need to nd when the two curves intersect. In other words we need to nd out when 4cos(3x) = 4sin(6x) inside the given interval. To do so we will use the identity sin(2 ) = 2sin( )cos( ). Then we have the following: 4cos(3x) = 4sin(6x) cos(3x) = sin(6x) cos(3x) sin(6x) = 0 ................
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